Global solutions to the equation of thermoelasticity with fading memory

Mari Okada, Shuichi Kawashima

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We consider the initial-history value problem for the one-dimensional equation of thermoelasticity with fading memory. It is proved that if the data are smooth and small, then a unique smooth solution exists globally in time and converges to the constant equilibrium state as time goes to infinity. Our proof is based on a technical energy method which makes use of the strict convexity of the entropy function and the properties of strongly positive definite kernels.

Original languageEnglish
Pages (from-to)338-364
Number of pages27
JournalJournal of Differential Equations
Volume263
Issue number1
DOIs
Publication statusPublished - 2017 Jul 5
Externally publishedYes

Keywords

  • Asymptotic stability
  • Global existence
  • Thermoelasticity with memory

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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